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Journal Articles:

• Moir, RHC, Corless, RM, Moreno Maza, M and Xie, N. (2019) “Symbolic-Numeric Integration of Rational Functions.” Numerical Algorithms. (forthcoming)

• Asadi, M, Brandt, A, Moir, RHC and Moreno Maza, M. (2019) “Algorithms and Data Structures for Sparse Polynomial Arithmetic.” Mathematics, 7(5), 441 DOI: 10.3390/math7050441

• Corless, RM, Kaya, CY and Moir, RHC. (2018) “Optimal residuals and the Dahlquist test problem.” Numerical Algorithms, DOI: 10.1007/s11075-018-0624-x, pp. 1–22.

• Fillion, N and Moir, RHC. (2018) “Explanation and Abstraction from a Backward-Error Analytic Perspective.” European Journal for Philosophy of Science, v. 8, no. 3, pp. 735–759, DOI: 10.1007/s13194-018-0208-6.

• Bangu, S and Moir RHC (2018). “The ‘Miracle’ of Applicability? The Curious Case of the Simple Harmonic Oscillator.” Foundations of Physics, v. 48, no. 5, pp. 507–525.

Contributed Volume Articles:

• Moir, RHC. (2019) “Effective Validity: A Generalized Logic for Approximate Inference.” In: Fillion, Nicolas, Corless, Robert and Kotsireas, Ilias (Eds.), Algorithms and Complexity in Mathematics, Epistemology and Science, Fields Institute Communications, no. 82, pp. 225–268.

• Moir, RHC (2018). “Feasible Computation: Methodological Contributions from Computational Science.” In: Cuffaro, M and Fletcher, S (Eds.), Physical Perspectives on Computation, Computational Perspectives on Physics, Cambridge University Press, pp. 172–194.

Proceedings:

• Asadi, M, Brandt, A, Moir, RHC and Moreno Maza, M (2018). “Sparse Polynomial Arithmetic with the BPAS Library.” In: Gerdt V., Koepf W., Seiler W., Vorozhtsov E. (Eds.) Computer Algebra in Scientific Computing. CASC 2018. Lecture Notes in Computer Science, vol 11077.

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  Moir, RHC. (2013). "Rational Discovery of the Natural World: An Algebro-Geometric Response to Steiner." In: A. Cupillari (Ed.), Proceedings of the Canadian Society for History and Philosophy of Mathematics, Hartford CT, July 2013, pp. 43-59.

• Moir, RHC. (2009). "The Conversion of Phenomena to Theory: Lessons on Applicability from the Early Development of Electromagnetism." In: A. Cupillari (Ed.), Proceedings of the Canadian Society for History and Philosophy of Mathematics, St John’s NL, June 2009, pp. 68-91.

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PhD Applied Mathematics (with Scientific Computing):

• Moir, RHC (2017). Feasible Computation in Symbolic and Numeric Integration. University of Western Ontario - Electronic Thesis and Dissertation Repository. Paper 5155.

PhD Philosophy:

• Moir, RHC (2013). Structures in Real Theory Application: A Study in Feasible Epistemology. University of Western Ontario - Electronic Thesis and Dissertation Repository. Paper 1578.

MSc Applied Mathematics:

• Moir, RHC (2010). Reconsidering Backward Error Analysis for Ordinary Differential Equations. University of Western Ontario..

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Mathematics:

• Moir, RHC, Corless, RM, Jeffrey, DJ, (2014). "Unwinding Paths on the Riemann Sphere for Continuous Integrals of Rational Functions". In: Elias, J, Fernández-Sánchez, J, and Sombra, M (Eds.), Proceedings de Encuentro de Álgebra Computacional y Aplicaciones (EACA) XIV (EACA trans: Meeting on Computer Algebra and Applications), Barcelona, June 2014, pp. 139-142.

Software:

• Chen, C, Covanov, S, Mansouri, F, Moir, RHC, Moreno Maza, M, Xie, N and Xie, Y (2016). “The basic polynomial algebra subprograms.” ACM Communications in Computer Algebra, v. 50, no. 3, pp. 97-100.